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Abstract: We describe the implementation of the LEDA [MN95, Nah95] data type real. Every integer is a real and reals are closed under the operations addition, subtraction, multiplication, division and squareroot. The main features of the data type real are ffl The user--interface is similar to that of the built--in data type double. (Update)
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...an easy way to overcome such precision and robustness problems by exact computation. For example, the number type leda real of LEDA [7, 40] can be used. This number type models a subset of algebraic numbers: All integers are leda reals and leda reals are closed under the...
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BibTeX entry: (Update)
C. Burnikel, K. Mehlhorn, and S. Schirra, `The LEDA class real number', Technical Report MPI-I-96-1001, Max-Planck-Institut fur Informatik, 1996. http://citeseer.ist.psu.edu/burnikel96leda.html More
@techreport{ burnikel96leda,
author = "Christoph Burnikel and Kurt Mehlhorn and Stefan Schirra",
title = "The {LEDA} Class {{\bf real}} Number",
number = "MPI-I-96-1-001",
address = "Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany",
year = "1996",
url = "citeseer.ist.psu.edu/burnikel96leda.html" }
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35 Mathematics for Computer Algebra (context) - Mignotte - 1992
34 Max-Planck-Institut fur Informatik (context) - Naher, Version et al. - 1995
31 LEDA: A library of efficient data types and algorithms (context) - Mehlhorn, Naher - 1995
30 Numerical stability of algorithms for 2d Delaunay triangulat.. (context) - Fortune - 1992
27 Constructing strongly convex hulls using exact or rounded ar.. - Li, Milenkovic - 1992
25 The implementation of geometric algorithms - Mehlhorn, Naher - 1994
25 Numerical stability of algorithms for line arrangements - Fortune, Milenkovic - 1991
22 Fundamental Problems in Algorithmic Algebra (context) - Yap - 1994
17 for binary floating--point arithmetic (context) - standard - 1987
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